Index formulas and charge deficiencies on the Landau levels
Artikel i vetenskaplig tidskrift, 2010

The notion of charge deficiency by Avron et al. [“Charge deficiency, charge transport and comparison of dimensions,” Commun. Math. Phys. 159, 399 (1994) ] is studied from the view of K-theory of operator algebras and is applied to the Landau levels in \R^{2n}. We calculate the charge deficiencies at the higher Landau levels in \R^{2n} by means of an Atiyah–Singer-type index theorem.

mathematical operators

eigenvalues and eigenfunctions

Landau levels

quantum theory

Författare

Magnus C H T Goffeng

Göteborgs universitet

Chalmers, Matematiska vetenskaper, Matematik

Journal of Mathematical Physics

0022-2488 (ISSN) 1089-7658 (eISSN)

Vol. 51 article ID 023509 [18 pages]- 006002JMP

Ämneskategorier

Matematik

Matematisk analys

DOI

10.1063/1.3277159